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Finding the Fourth Proportional to 881.64, 1,322.82 and 471.24

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Solution

The fourth proportional to 881.64, 1,322.82 and 471.24 is: 707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.64 : 1,322.82 = 471.24 : x
  2. Step 2: Convert to fraction form
    881.64/1,322.82 = 471.24/x
  3. Step 3: Cross multiply
    881.64x = 1,322.82 × 471.24
  4. Step 4: Simplify right side
    881.64x = 623,365.70
  5. Step 5: Solve for x
    x = 623,365.70/881.64
  6. Step 6: Final answer
    x = 707.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.